2140118400 has 192 divisors, whose sum is σ = 8056270080. Its totient is φ = 489154560.

The previous prime is 2140118377. The next prime is 2140118401. The reversal of 2140118400 is 48110412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140118401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51277 + ... + 83123.

It is an arithmetic number, because the mean of its divisors is an integer number (41959740).

Almost surely, 2^2140118400 is an apocalyptic number.

2140118400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028135040).

2140118400 is an abundant number, since it is smaller than the sum of its proper divisors (5916151680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2140118400 is a wasteful number, since it uses less digits than its factorization.

2140118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31881 (or 31864 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 2140118400 is about 46261.4137267767. The cubic root of 2140118400 is about 1288.6825080221.

Adding to 2140118400 its reverse (48110412), we get a palindrome (2188228812).

The spelling of 2140118400 in words is "two billion, one hundred forty million, one hundred eighteen thousand, four hundred".